Which of the following pairs of lines are perpendicular? select all that apply.

Step-by-step explanation:

Two lines are perpendicular to each other if the product of their slopes is -1

In the case of lines y = 3 and x = 4 , their slopes are zero and infinite respectively but this two lines are by construction perpendicular to each other.

The correct options are: B, C, E and F

Step-by-step explanation:

Consider the provided information.

Two lines are said to be perpendicular if the slopes are opposite reciprocals.

The slope intercept form is:

Where m is the slope of line.

Now consider the provided options:

Option A)

Both the equation have same slope i.e 2/3.

Thus, the pair of line is not perpendicular.

Option B)

Hence, the pair of line is perpendicular.

Option C)

Hence, the pair of line is perpendicular.

Option D)

Both the equation have same slope i.e 3.

Thus, the pair of line is not perpendicular.

Option E)

y=3 is a horizontal line parallel to x-axis and x=4 is a vertical line parallel to y axis. We know that x and y axis are perpendicular to each other and the provided lines follows the same property.

Thus, the pair of line is perpendicular.

Option F)

Thus, the pair of line is perpendicular.

Hence, the correct options are: B, C, E and F